Initial Diagnostic Audit - Unit C3: Areas and Volumes

Do NOT use a calculator for any questions in the audit unless specifically told otherwise
Section C3.1 - Squares, Rectangles and Triangles
1. What is the area of this rectangle?

Area = cm2

2. What is the area of this triangle?

Area = cm2

3. What is the area of this triangle?

Area = cm2

4. What is the area of the garden represented by this shape?

Area = m2

5. What is the area of this shape?

Area = cm2

Section C3.2 - Area and Circumference of Circles

You may use a calculator for questions in this section
A = πr2       C = 2πr
6.

(a) What is the area of the circle? A = × π cm2

(b) What is the circumference of the circle? C = × π cm

7. What is the radius of a circle with circumference 24 cm? Give your answer to 2 decimal places.
r = cm
8. What is the radius of a circle with area 36 cm2? Give your answer to 1 decimal place.
r = cm
9. Find the radius of the semicircles if the perimeter of this shape is 400 m.

Give your answer to 2 decimal places.
r = m

Section C3.3 - Areas of Parallelograms, Trapeziums, Kites and Rhombuses

Find the area of each of the following shapes.
10.

Area = cm2

11.

Area = cm2

12.

Area = cm2

13.

Area = cm2

14.

Area = cm2

Section C3.4 - Surface Area
Surface Area of Sphere = 4πr2

Surface Area of Cone = πrs + πr2

where s is the slant height
15. What is the surface area of a cube with side length 5 cm? cm2
16. What is the surface area of a cuboid with side lengths 3 cm, 5 cm and 8 cm? cm2
You may use a calculator for the remaining questions
17. What is the surface area of a ball of diameter 6 cm? Give your answer to 1 d.p. cm2
18. What is the surface area of a cone of base radius 10 cm and perpendicular height 24 cm?
Give your answer in terms of π π cm2
19.
 A ball has surface area 200 cm2. What is the radius of the ball?
Give your answer to 1 d.p. cm
Section C3.5 - Volumes of Cubes, Cuboids, Cylinders and Prisms
FORMULAE

The volume of a cube is given by
V = a3
where a is the length of each side of the cube.
The volume of a cuboid is given by
V = abc
where a, b and c are the lengths shown in the diagram.
The volume of a cylinder is given by
V = πr2h
where r is the radius of the cylinder and h is its height.

What is the volume of

20. a cube of side length 4 cm    V = cm3
21. a cuboid of side lengths 3 cm, 4 cm and 5 cm    V = cm3
22. a cylinder of height 8 cm and radius 3 cm3    V = cm2
23. The volume of a cube is 150 cm3. What is the length of each side, to 2 decimal places?
Length = cm
24. The volume of a cuboid is 80 cm3. Two of the sides are each of length 4 cm.
What is the length of the third side?    Length = cm

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Produced by Russell Geach for CIMT - January 2013